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Finding the Fourth Proportional to 971.78, 1,457.67 and 394.70

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Solution

The fourth proportional to 971.78, 1,457.67 and 394.70 is: 592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.78 : 1,457.67 = 394.70 : x
  2. Step 2: Convert to fraction form
    971.78/1,457.67 = 394.70/x
  3. Step 3: Cross multiply
    971.78x = 1,457.67 × 394.70
  4. Step 4: Simplify right side
    971.78x = 575,342.35
  5. Step 5: Solve for x
    x = 575,342.35/971.78
  6. Step 6: Final answer
    x = 592.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.